Further Matrix Classes Possessing the Interval Property
- In this article, the collection of classes of matrices presented in [J. Garloff, M. Adm, ad J. Titi, A survey of classes of matrices possessing the interval property and related properties, Reliab. Comput. 22:1-14, 2016] is continued. That is, given an interval of matrices with respect to a certain partial order, it is desired to know whether a special property of the entire matrix interval can be inferred from some of its element matrices lying on the vertices of the matrix interval. The interval property of some matrix classes found in the literature is presented, and the interval property of further matrix classes including the ultrametric, the conditionally positive semidefinite, and the infinitely divisible matrices is given for the first time. For the inverse M-matrices the cardinality of the required set of vertex matrices known so far is significantly reduced.
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| Author: | Jürgen GarloffORCiDGND, Doaa Al-Saafin, Mohammad AdmORCiDGND |
|---|---|
| URN: | urn:nbn:de:bsz:kon4-opus4-29520 |
| URL: | https://www.cs.utep.edu/interval-comp/rc.html |
| ISSN: | 1573-1340 |
| Parent Title (English): | Reliable Computing |
| Volume: | 28 |
| Publisher: | University of Texas |
| Place of publication: | El Paso |
| Document Type: | Article |
| Language: | English |
| Year of Publication: | 2021 |
| Release Date: | 2022/01/08 |
| Tag: | Interval property; Matrix interval; Inverse M-matrix; Conditionally positive semidefinite matrix; Infinitely divisible matrix |
| First Page: | 56 |
| Last Page: | 70 |
| Institutes: | Institut für Angewandte Forschung - IAF |
| DDC functional group: | 500 Naturwissenschaften und Mathematik |
| Open Access?: | Ja |
| Relevance: | Peer reviewed nach anderen Listungen (mit Nachweis zum Peer Review Verfahren) |
| Licence (German): |  Urheberrechtlich geschützt |
